κ-疯狂和可定义性

IF 0.4 4区数学 Q4 LOGIC

Mathematical Logic Quarterly Pub Date : 2022-06-21 DOI:10.1002/malq.202100074

Haim Horowitz, Saharon Shelah

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引用次数: 0

摘要

假设存在一个超紧基数，我们构造了一个模型，其中对于一些不可数正则基数κ，不存在Σ 11 (κ) $\Sigma ^1_1(\kappa )$ κ-mad家族。

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κ-Madness and definability

Assuming the existence of a supercompact cardinal, we construct a model where, for some uncountable regular cardinal κ, there are no $Σ_{1}^{1} (κ)$ κ-mad families.

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来源期刊

Mathematical Logic Quarterly 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Logic Quarterly publishes original contributions on mathematical logic and foundations of mathematics and related areas, such as general logic, model theory, recursion theory, set theory, proof theory and constructive mathematics, algebraic logic, nonstandard models, and logical aspects of theoretical computer science.